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Finding the Fourth Proportional to 426.16, 588.24 and 315.60

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Solution

The fourth proportional to 426.16, 588.24 and 315.60 is: 435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.16 : 588.24 = 315.60 : x
  2. Step 2: Convert to fraction form
    426.16/588.24 = 315.60/x
  3. Step 3: Cross multiply
    426.16x = 588.24 × 315.60
  4. Step 4: Simplify right side
    426.16x = 185,648.54
  5. Step 5: Solve for x
    x = 185,648.54/426.16
  6. Step 6: Final answer
    x = 435.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.